Hey Skaltnerd Welcome to WPCentral!!!
that seems like a weird problem, I know that some apps/games are buggy and have problems , but out of the 1000+ aps/games ive downloaded I've only had a handful actually crash my phone or simply not work.
What I would try to do , is uninstall ALL the apps/games, Then re-install them one at a time, this will allow you to test each app to see if a particular one is causing the problems.
its never a good idea to install allot of app/games in a short period of time, even doh you might be exited about your new phone
it is possible your phone is defective as well, worst case just return to the store to exchange it.
I would first try to do a *HARD RESET *
1. settings
2. About
3. Reset your phone ( at the very bottom )
see if that works!
also for more information make sure to check out:
WindowsPhone: Getting started!